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Global existence of the equivariant Yang-Mills heat flow in four space dimensions

Andreas E. Schlatter, Michael Struwe, A. Shadi Tahvildar-Zadeh

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Published: Feb 1, 1998

DOI: 10.1353/ajm.1998.0004

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Source abstract

We show that the Yang-Mills heat flow of SO (4)-equivariant connections on an SU (2)-bundle over a ball in [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /] admits a smooth solution for all time for any initial and boundary data of finite energy.

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Global existence of the equivariant Yang-Mills heat flow in four space dimensions — Mathematical Frontier Network